Norwich is a city in Kingman County, Kansas, United States. As of the 2010 census, the city population was 491.
Norwich is located at 37°27′28″N 97°50′50″W / 37.45778°N 97.84722°W / 37.45778; -97.84722 (37.457778, -97.847160). According to the United States Census Bureau, the city has a total area of 0.5 square miles (1.2 km²), all of it land.
As of the census of 2000, there were 551 people, 203 households, and 140 families residing in the city. The population density was 1,187.2 people per square mile (462.5/km²). There were 216 housing units at an average density of 465.4 per square mile (181.3/km²). The racial makeup of the city was 94.92% White, 0.18% African American, 1.45% Native American, 0.18% Asian, 0.18% from other races, and 3.09% from two or more races. Hispanic or Latino of any race were 0.73% of the population.